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Species Colonization Integral Model

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The cumulative number of species colonizing a recovering ecosystem is modeled by the function C(t)=∫0t10∗e−0.5∗x dxC(t)=\int_{0}^{t}10*e^{-0.5*x}\,dx. Which of the following conclusions is best supported by this model?

A

The ecosystem is expected to gain approximately 2020 species in total as t→∞t \to \infty.

B

The ecosystem will continue to indefinitely increase its number of species without approaching any limit.

C

The model predicts an oscillating number of species that neither converges nor diverges over time.

D

The colonization rate drops to zero immediately, resulting in virtually no increase in species diversity.

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